What is the domain of f(x)=sqrt(-x-9) ?

The domain of f(x)=sqrt(-x-9) is x<=-9

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domain of f(x)=sqrt(-x-9)

domain

f (x) = - x - 9

x \leq - 9

Interval Notation

(- \infty, - 9]

Solution steps

Find non-negative values for radicals:

x \leq - 9

The function domain

x \leq - 9

f (x) = x^{3} - x^{2} + 1

f (x) = 13 x + 4

f (x) = x^{2} + 10 x + 24

f (x) = \frac{x}{8 - 9 x}

f (x) = \frac{x - 1}{x ^{2} - 5 x + 6}